Radchenko, DanyloViazovska, Maryna2019-06-182019-06-182019-06-182019-06-0110.1007/s10240-018-0101-zhttps://infoscience.epfl.ch/handle/20.500.14299/157177WOS:000467636100002In this paper we construct an explicit interpolation formula for Schwartz functions on the real line. The formula expresses the value of a function at any given point in terms of the values of the function and its Fourier transform on the set {0,+/- 1,+/- 2,+/- 3The functions in the interpolating basis are constructed in a closed form as an integral transform of weakly holomorphic modular forms for the theta subgroup of the modular group.Mathematicstext::journal::journal article::research article